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Finding the Fourth Proportional to 211,971.87, 292,515.30 and 116,478.54

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Solution

The fourth proportional to 211,971.87, 292,515.30 and 116,478.54 is: 160,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,971.87 : 292,515.30 = 116,478.54 : x
  2. Step 2: Convert to fraction form
    211,971.87/292,515.30 = 116,478.54/x
  3. Step 3: Cross multiply
    211,971.87x = 292,515.30 × 116,478.54
  4. Step 4: Simplify right side
    211,971.87x = 34,071,755,071.66
  5. Step 5: Solve for x
    x = 34,071,755,071.66/211,971.87
  6. Step 6: Final answer
    x = 160,737.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.